126910198656000 has 2464 divisors, whose sum is σ = 497554653313536. Its totient is φ = 32248627200000.

The previous prime is 126910198655951. The next prime is 126910198656001. The reversal of 126910198656000 is 656891019621.

126910198656000 is a `hidden beast` number, since 1 + 2 + 6 + 9 + 10 + 19 + 8 + 6 + 5 + 600 + 0 = 666.

It is a super-2 number, since 2×126910198656000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (126910198656001) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 211165055700 + ... + 211165056300.

Almost surely, 2^{126910198656000} is an apocalyptic number.

126910198656000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126910198656000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248777326656768).

126910198656000 is an abundant number, since it is smaller than the sum of its proper divisors (370644454657536).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

126910198656000 is an frugal number, since it uses more digits than its factorization.

126910198656000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758 (or 715 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 54.

The spelling of 126910198656000 in words is "one hundred twenty-six trillion, nine hundred ten billion, one hundred ninety-eight million, six hundred fifty-six thousand".